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Simplifying z + -3.3z + 2.6 = -2.8(z + 3) Reorder the terms: 2.6 + z + -3.3z = -2.8(z + 3) Combine like terms: z + -3.3z = -2.3z 2.6 + -2.3z = -2.8(z + 3) Reorder the terms: 2.6 + -2.3z = -2.8(3 + z) 2.6 + -2.3z = (3 * -2.8 + z * -2.8) 2.6 + -2.3z = (-8.4 + -2.8z) Solving 2.6 + -2.3z = -8.4 + -2.8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2.8z' to each side of the equation. 2.6 + -2.3z + 2.8z = -8.4 + -2.8z + 2.8z Combine like terms: -2.3z + 2.8z = 0.5z 2.6 + 0.5z = -8.4 + -2.8z + 2.8z Combine like terms: -2.8z + 2.8z = 0.0 2.6 + 0.5z = -8.4 + 0.0 2.6 + 0.5z = -8.4 Add '-2.6' to each side of the equation. 2.6 + -2.6 + 0.5z = -8.4 + -2.6 Combine like terms: 2.6 + -2.6 = 0.0 0.0 + 0.5z = -8.4 + -2.6 0.5z = -8.4 + -2.6 Combine like terms: -8.4 + -2.6 = -11 0.5z = -11 Divide each side by '0.5'. z = -22 Simplifying z = -22
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